Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2

120,908 results

1. algebra

Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2.
2. math

Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2.

I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with real coefficients having the given degree ...
4. Polynomial Function

Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24
5. Algebra

Suppose that a polynomial function of degree 5 with rational coefficients has​ 6, −2+4i, 4−sqrt2 as zeros. Find the other zeros. Thank you!
6. Polynomial Function

Could you help me with the following problem, I don't understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20
7. Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros
8. Pre-Calculus

Find a polynomial of degree 4 that has a integer coefficients and zeros 1,-1,2 and 1/2 (one half)?
9. Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros show work please
10. Pre-Calculus

Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 2 and zeros 2 + i and 2 − i.
11. math (precalc)

Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 4i and 5, with 5 a zero of multiplicity 2.
12. Pre-Calc

A polynomial function f(x) with real coefficients has the given degree, zeros, and solution point. Degree: 3 Zeros: -2,2+2√2i Solution Point: f(−1) = −68 (a) Write the function in completely factored form. (b) Write the function in polynomial form. Help Please my teacher...
13. Algebra

Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^3-3x^2-...
14. Math

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i
15. college algebra

form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?()
16. Math

Find a polynomial function with integer coefficients that has the given zeros. 0,0,4,1+i Please explain!! I am very confused.
17. pre-calculus

form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros -7; -i;-9+i enter the polynomial. f(x)=a(?)
18. algebra

form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?)
19. Math

find a third degree polynomial function with real coefficients -2+i and -4 zeros
20. Algebra

Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24
21. Algebra

Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 6, and –2 + 3i as zeros. Find the remaining zero. A. –6 B. –2 – 3i C. 0 D. 2 + 3i
22. Algebra

Find the polynomial function P of the lowest possible degree, having real coefficients, with the given zeros. 3+2i, -2 and 1
23. algebra

Find a polynomial function of least degree with real coefficients satisfying the given properties. zeros -3, 0, and 4 f(1) =10
24. Form a polynomial f(x) from coefficient and it's 0

Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 6i and 7i I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate it. Thanks.
25. College Algebra

Find a fourth-degree polynomial with integer coefficients that has zeros 4i and −1, with −1 a zero of multiplicity 2. (Use x for the variable.) can somebody help me do this?

Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 3, and 1 –2i as zeros. Find the remaining zero. A. –2 B. –1 – 2i C. 0 D. 1 + 2i
27. Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 2-i,sqrt2 f(x)= ? Thanks!
28. Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. sqrt of 3, 4 Thanks!
29. PreCalculus

Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. Find the other zero( s): -1, radical 3, 11/3
30. pre-ap Algebra 2

write a polynomial function f of least degree that has the rational coefficients, a leading coefficient of 1, and the given zeros. Given zeros: -2,2,-1,3, sqrt 11
31. Algebra

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; zeros: 9, 3+5i, -9i
32. Calculus

Form a polynomial, f(x) with real coefficients having the given degree and zeros. Degree: 4 ; Zeros: 4i and 5i Really need help! don't know where to start.
33. calculus

form a polynomial with real coefficients have given degree and zeros. degree 5, zeros 9, -i; 8+i please show work
34. Algebra ll

Please help!! I do not understand any of this!! Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 2, multiplicity 2; 3i
35. college algebra

Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree 3; zeros: 1 + i and -10
36. College algebra

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )
37. College Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )
38. College Algebra! help!

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -4; -i; -2+i f(x)=a( )
39. Algebra

Determine a polynomial function of degree 3 with real coefficients whose zeros are ƒ{2, 1+i .
40. Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros:1;-i; -7+1
41. Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i
42. Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i
43. Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. sqrt of 3 and 4i disregard the first post, thanks!
44. algebra

write a fourth degree polynomial function with real coefficients that has -3,1/5, and 4+i as zeros and the y intercept of (0,5)
45. Algebra

Form a third degree polynomial function with real coefficients such that 2+i and -5 are zeros. f(x)= ?
46. Algebra

Form a third degree polynomial function with real coefficients such that -7 + i and -9 are zeros
47. Algebra ll

Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 4; zeros: 8,-6-i
48. Algebra ll

Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 3; zeros: 8, -6-i
49. pre-calculus

form a polynomial f(x) with real coefficients having the given degree and zeros. degree: 4; zeros: -1, 2, and 1-2i. I got an exam tomorrow, i would appreciate any kind of help, thank you.
50. Algebra 2

write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i
51. Math

A polynomial function with rational coefficients has the following zeros. Find all additional zeros. 2, -2 + ã10
52. Form a polynomial f(x)

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )
53. Form a polynomial f(x)

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )
54. Form a polynomial

Form a polynomial f(x) with real coefficients having the given degree and zeros Degree 5; zeros: -8; -i; -8+i
55. pre cal

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i Urgently need help
56. Algebra 2

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros 2, 2i, and 4-sqrt 6
57. pre-calculus

information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f: degree 4; zeros: i, 3+i
58. Pre-calculus

Sorry i wrote the last question wrong, it was suppose to be written as: information is given about the polynomial f(x) whose coefficients are real numbers. find the remaining zeros of f: degree 4; zeros: i, 3+i
59. Math

Find a polynomial of degree 3 with real coefficients and zeros of -3, -1, and 4, for which f(-2) = 24.
60. college algebra

form a polynomial f (x) with real coefficients having the given degree and zeros. degree 5; zeros 5; -i; -6+-i f(x)= a(?) Please show step by step work.
61. Math-college

Can you please help with this one. Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. n=4 2 i and 4 i are zeros; f(-1)=85 f(x)= ​(Type an expression using x as the variable. Simplify your​ answer.)
62. poloynomial function

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 1) -2, -1, 1 2) i, 4 3) i, 2 - √3 4) 1, 4, 1 + √2
63. Polynomial Fucntion Problem

Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 my answer ...
64. Math

What does the degree of a polynomial expression tell you about its related polynomial function? Explain your thinking. Give an example of a polynomial expression of degree three. Provide information regarding the graph and zeros of the related polynomial function.
65. Algebra

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -1,3+i f(x)=
66. Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.    3-i,sqrt2 f(x)=??
67. pre-calculus math

A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over . 3, −3 − 2i;    degree 3
68. AMath

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include those listed 2, 3 and i.

Find a polynominal of degree 4 that has integer coefficients and zeros 4,-4,5 and 1/2.
70. Math

find a polynomial of least degree(having real coefficients) with zeros: 5, -2, 2i
71. algebra

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros. degree: 6 Zeros: -8 + 11x(can't put this sign in looks like ii with slash over)i, -7 + 17i, 16 - isqrt 2

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.
75. ALGEBRA

Find a degree 3 polynomial with real coefficients having zeros 2 and 4-3i and a lead coefficient of 1.
76. pre calculus

use given info about a polynomial whose coefficients are real numbers to find the remaining zeros. Degree: 6 so I know there's at least 6 zeros:-5-isqrt7, 13 + 2ni, -5 - 3i (where n is a real number) any ideas??????
77. Pre-Calculus

Find a polynomial function with integer coefficients with degree 4, one root 3+radical2, and another root 4-3i. I got x^4-14x^3+80x^2-206x+175 I'm I correct?
78. Algebra

I need help with a few questions, please explain. 1. Write a polynomial function in standard form with zeros -1, -1, 6. 2. Find the roots of the equation x^3 – 3x^2 + x + 5 3. Describe the number and type of roots for the polynomial (how many real and complex?). x^3 + 5x^2...
79. algebra 3

Find a polynomial of lowest degree with only real coefficients and having the given zeros. -2+i, -2-i, 3, -3
80. help maaaaath

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?
81. College Algebra

OOPS I got the zeros wrong in the last post...please show work. Find a polynomial of the specified degree that has the given zeros Degree 4: zeros -2,0,2,4
82. Pre cal

Fine a third degree polynomial function f(x) with real coefficients that has 4 and 2i are zeros and such that f(-1) =-50 4 21 -2i (x-4)(x-2i)(x+2i) (x-4)(x2+4) x3-16+4x-4x2 (x3-4x2+4x-16) -50=a(-1-4-4-16) -50=.25 a=2 Not understanding, please help
83. Math - Fundamental Theorem

We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the same conclusion by ...
84. heeeeeeeeelp math

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?
85. plsheeeeeeeeeeelp math

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?
86. heeeelp math

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?
87. algebra

What is the largest value of d, such that for some degree d polynomial f(x) with integer coefficients, |f(x)|=1024 for more than d integer values of x?
88. Math - Int Trig

Form a polynomial f(x) with real coefficients having the given degree and zeros 21) Degree: 4, zeroes: 2i and -3i 22) Degree: 3, Zeroes i and -10
89. Pre Calculus

1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^4-11x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero at x=2+i
90. College Algebra

Find a polynomial of the specified degree that has the given zeros: Degree 4: zeros -1,1,3,5 (I know you would do... (x-(-1)) (x-1) (x-3) (x-5) but I don't know what to do after that. I know when it's a degree of 3 you just use FOIL and leave the (x-5) as is, but how do you do...
91. Precalculus

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 2(multiplicity 2), -4(multiplicity 3)
92. Precalculus

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 3(multiplicity 2), 5+i(multiplicity 1)
93. algebra

Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i;-7+i Enter the polynomial f(x)=a(____) type expression using x as the variable
94. Finding polynomial from zeros

How to find the polynomial degree 2 and zeros are (1+i) & (1-i) I would like to see the steps to solve this. Thanks. If those are the roots, then the following are factors: (x-1-i)(x-1+i)
95. math

Find a polynomial f(x) with leading coefficient 1 and having the given degree and zeros. Each polynomial should be expanded from factored form, simplified and written in descending order of exponents on the variable. For example: (x+5)(x-2) should be given as the answer x^2 + ...
96. College Algebra

Find a polynomial function f(x), with real coefficients, that has 1 and 3+2i as zeros, and such that f(-1)=2 (Multiply out and simplify your answer)
97. Math Analysis

A quartic polynomial Q(x) with real coefficients has zeros 2+i and 3-2i, find the other two zeros.
98. maths

f(x) is a polynomial with integer coefficients and degree at most 10. There are N distinct integer values for which f(n)=2, and M distinct integer values for which f(m)=−2. What is the maximum possible value of NM?
99. College Algebra

I'm supposed to find a polynomial with specified Zeros. This is all the question told me: Degree: 4 Zeros: -2, 0, 2, 4 I know how to do these problems when it's a degree of 3, but not 4.
100. College Algebra

Find a Quadratic polynomial function with real coefficients satisfying the given conditions. -4 and 3 are zeros; f(1) = -30 HELP. I have no idea.